36 citations · 208 across the 26 of their papers we have counts for
4 papers · 1 filter
A structure theorem for streamed information
Cristopher Salvi, Joscha Diehl, Terry Lyons +2
We identify the free half shuffle algebra of Schützenberger (1958) with an algebra of real-valued functionals on paths, where the half shuffle emulates integration of a functional…
Two-parameter sums signatures and corresponding quasisymmetric functions
Joscha Diehl, Leonard Schmitz
Quasisymmetric functions have recently been used in time series analysis as polynomial features that are invariant under, so-called, dynamic time warping. We extend this notion to…
Signatures of graphs for bicommutative Hopf algebras
Diego Caudillo, Joscha Diehl, Kurusch Ebrahimi-Fard +1
This article approaches the counting of subgraphs, in terms of signature-type functionals defined over combinatorial Hopf algebras of graphs. Well-known algebraic identities that a…
Shuffle Algebras and Non-Commutative Probability for Pairs of Faces
Joscha Diehl, Malte Gerhold, Nicolas Gilliers
One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the…